The editor of a textbook publishing company is deciding whether to publish a proposed textbook. Information on previous textbooks published show that 20% are huge​ successes, 30% are modest​ successes, 30% break​ even, and 20% are losers. Before a decision is​ made, the book will be reviewed. In the​ past, 97% of the huge successes received favorable​ reviews, 60% of the moderate successes received favorable​ reviews, 40% of the​ break-even books received favorable​ reviews, and 30% of the losers received favorable reviews. If the textbook receives a favorable​ review, what is the probability that it will be huge​ success?